Question: What is the time constant of a system with a transfer function of 1/(2s + 1)?
Options:
0.5 seconds
2 seconds
1 second
4 seconds
Correct Answer: 2 seconds
Solution:
The time constant (T) is the coefficient of s in the denominator, which is 1/2, thus T = 2 seconds.
What is the time constant of a system with a transfer function of 1/(2s + 1)?
Practice Questions
Q1
What is the time constant of a system with a transfer function of 1/(2s + 1)?
0.5 seconds
2 seconds
1 second
4 seconds
Questions & Step-by-Step Solutions
What is the time constant of a system with a transfer function of 1/(2s + 1)?
Step 1: Identify the transfer function given in the question, which is 1/(2s + 1).
Step 2: Look at the denominator of the transfer function, which is 2s + 1.
Step 3: Find the coefficient of 's' in the denominator. In this case, the coefficient is 2.
Step 4: The time constant (T) is calculated as the reciprocal of the coefficient of 's'. So, T = 1/2.
Step 5: Calculate 1/2, which equals 0.5 seconds. However, the time constant is often expressed in terms of the time it takes for the system to respond, which is 2 seconds.
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